Abstract

A new class of exact solutions of magnetohydrodynamic equations for description of creeping flows of multilayer incompressible fluids with the Rayleigh dissipative function is found. The velocity field is described by linear forms with respect to two spatial (horizontal, longitudinal) coordinates. The coefficients of the linear forms depend on the third (vertical, transverse) coordinate. The pressure field and the temperature field are quadratic forms with similar dependence on coordinates and coefficients as in the Lin-Sidorov-Aristov class.

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